Question

Solve for x. 9x + 7 - 3 - 4x = -26

Answer 1

Starting with the equation:

`9x+7-3-4x=-26`

Rewrite using the commutative property of addition to bring together similar terms:

`9x-4x+7-3=-26`

Add like terms on the left hand side of the equation:

`5x+4=-26`

Substract 4 fom both sides of the equation:

`\begin{gathered} 5x=-26-4 \\ =-30 \end{gathered}`

Divide both sides by 5:

`\begin{gathered} x=-(30)/(5) \\ =-6 \end{gathered}`

Plug in the value of x=-6 into the original equation to check your answer:

`\begin{gathered} 9x+7-3-4x=-26 \\ \Rightarrow9(-6)+7-3-4(-6)=-26 \\ \Rightarrow-54+7-3+24=-26 \\ \Rightarrow-26=-26 \end{gathered}`

Therefore:

`x=-6`